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5601265152 = 29374911061
BaseRepresentation
bin1010011011101110…
…01000011000000000
3112110100202202021220
411031313020120000
542432410441102
62323450315040
7255542653050
oct51567103000
915410682256
105601265152
11241484a45a
121103a28a80
136b35ab2a2
143b1c97560
1522bb241bc
hex14ddc8600

5601265152 has 160 divisors (see below), whose sum is σ = 17104690944. Its totient is φ = 1595596800.

The previous prime is 5601265147. The next prime is 5601265157. The reversal of 5601265152 is 2515621065.

It is an interprime number because it is at equal distance from previous prime (5601265147) and next prime (5601265157).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5601265157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5278702 + ... + 5279762.

Almost surely, 25601265152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5601265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552345472).

5601265152 is an abundant number, since it is smaller than the sum of its proper divisors (11503425792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5601265152 is a wasteful number, since it uses less digits than its factorization.

5601265152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 5601265152 is about 74841.6004104669. The cubic root of 5601265152 is about 1775.9417235971.

The spelling of 5601265152 in words is "five billion, six hundred one million, two hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 491 512 672 768 896 982 1061 1344 1473 1536 1792 1964 2122 2688 2946 3183 3437 3584 3928 4244 5376 5892 6366 6874 7427 7856 8488 10311 10752 11784 12732 13748 14854 15712 16976 20622 22281 23568 25464 27496 29708 31424 33952 41244 44562 47136 50928 54992 59416 62848 67904 82488 89124 94272 101856 109984 118832 125696 135808 164976 178248 188544 203712 219968 237664 251392 271616 329952 356496 377088 407424 439936 475328 520951 543232 659904 712992 754176 814848 879872 950656 1041902 1319808 1425984 1562853 1629696 1759744 1901312 2083804 2639616 2851968 3125706 3646657 3802624 4167608 5279232 5703936 6251412 7293314 8335216 10939971 11407872 12502824 14586628 16670432 21879942 25005648 29173256 33340864 43759884 50011296 58346512 66681728 87519768 100022592 116693024 133363456 175039536 200045184 233386048 266726912 350079072 400090368 466772096 700158144 800180736 933544192 1400316288 1867088384 2800632576 5601265152